Computing Chevalley bases in small characteristics

DOI10.1016/j.jalgebra.2009.04.038zbMath1215.17003arXiv0901.1717OpenAlexW2097172353MaRDI QIDQ731240

Dan Roozemond, Arjeh M. Cohen

Publication date: 2 October 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.1717

zbMATH Keywords

algorithmsLie algebrasgroups of Lie typeconjugacy problemsChevalley basesisomorphism problemstoral subalgebras

Mathematics Subject Classification ID

Lie algebras of linear algebraic groups (17B45) Computational methods for problems pertaining to nonassociative rings and algebras (17-08)

Related Items (6)

The Geometry of Extremal Elements in a Lie Algebra ⋮ Inverses of Cartan matrices of Lie algebras and Lie superalgebras ⋮ Algorithmic construction of Chevalley bases ⋮ Recognition of finite exceptional groups of Lie type ⋮ The roots of exceptional modular Lie superalgebras with Cartan matrix ⋮ Black box exceptional groups of Lie type

Uses Software

• GAP

Cites Work

• An algorithm for Lang's theorem.
• Automorphisms of classical Lie algebras
• Computer construction of split Cartan subalgebras
• Jordan algebras and algebraic groups.
• Computing the structure of finite algebras
• Computing in groups of Lie type
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